An explicit stabilization satisfying (REF ) was introduced in [1]}
analyzed in [2]}, and reads
\(S^{K}_{\operatorname{face}}(\mathbf {B}_{h},\mathbf {C}_{h}) :=h_K\sum _{F\in \mathcal {F}^{K}_{h}} \big (\mathbf {n}_{F}\cdot \mathbf {B}_{h},\mathbf {n}_{F}\cdot \mathbf {C}_{h}\big )_{0,F}\quad \quad \forall \mathbf {B}_{h},\,\mathbf {C}_{h}\in \mathbf {V}_{h}^{\operatorname{face}}(K).\) 
